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3133013401 = 72414013889
BaseRepresentation
bin1011101010111101…
…1111110110011001
322002100022120102101
42322233133312121
522404022412101
61234515203401
7140432113600
oct27257376631
98070276371
103133013401
111368560381
127352a6561
133ac1167ab
1421a14ca37
151350ba401
hexbabdfd99

3133013401 has 24 divisors (see below), whose sum is σ = 3743689320. Its totient is φ = 2612736000.

The previous prime is 3133013371. The next prime is 3133013413. The reversal of 3133013401 is 1043103313.

It can be written as a sum of positive squares in 4 ways, for example, as 912342025 + 2220671376 = 30205^2 + 47124^2 .

It is not a de Polignac number, because 3133013401 - 223 = 3124624793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3133013101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 803665 + ... + 807553.

It is an arithmetic number, because the mean of its divisors is an integer number (155987055).

Almost surely, 23133013401 is an apocalyptic number.

It is an amenable number.

3133013401 is a deficient number, since it is larger than the sum of its proper divisors (610675919).

3133013401 is a wasteful number, since it uses less digits than its factorization.

3133013401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4345 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 3133013401 is about 55973.3275855563. The cubic root of 3133013401 is about 1463.2574732091.

Adding to 3133013401 its reverse (1043103313), we get a palindrome (4176116714).

The spelling of 3133013401 in words is "three billion, one hundred thirty-three million, thirteen thousand, four hundred one".

Divisors: 1 7 41 49 287 401 2009 2807 3889 16441 19649 27223 115087 159449 190561 805609 1116143 1559489 7813001 10916423 63939049 76414961 447573343 3133013401